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Finding the Third Proportional to 108,788 and 230,626

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Solution

The third proportional to 108,788 and 230,626 is: 488,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,788 : 230,626 = 230,626 : x
  2. Step 2: Convert to fraction form
    108,788/230,626 = 230,626/x
  3. Step 3: Cross multiply
    108,788x = 230,626 × 230,626
  4. Step 4: Simplify right side
    108,788x = 53,188,351,876
  5. Step 5: Solve for x
    x = 53,188,351,876/108,788
  6. Step 6: Final answer
    x = 488,917.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.